Phase transitions for rock-scissors-paper game on different networks

Details Phase transitions for rock-scissors-paper game on different networks Phase transitions for rock-scissors-paper game on different networks

2004-07-16

arxiv.org/abs/cond-mat/0407425v1

Phys. Rev. E 70 (2004) 037102

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, to be published in PRE

Scientific paper

10.1103/PhysRevE.70.037102

Monte Carlo simulations and dynamical mean-field approximations are performed to study the phase transitions in rock-scissors-paper game on different host networks. These graphs are originated from lattices by introducing quenched and annealed randomness simultaneously. In the resulting phase diagrams three different stationary states are identified for all structures. The comparison of results on different networks suggests that the value of clustering coefficient plays an irrelevant role in the emergence of a global oscillating phase. The critical behavior of phase transitions seems to be universal and can be described by the same exponents.

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